Modules Over Discrete Valuation Rings by Askar A. Tuganbaev
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Modules Over Discrete Valuation Rings

Modules Over Discrete Valuation Rings


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International Edition


About the Book

This book provides the first systematic treatment of modules over discrete valuation domains, which play an important role in various areas of algebra, especially in commutative algebra. Many important results representing the state of the art are presented in the text along with interesting open problems. This updated edition presents new approaches on p-adic integers and modules, and on the determinability of a module by its automorphism group.

Contents
Preliminaries
Basic facts
Endomorphism rings of divisible and complete modules
Representation of rings by endomorphism rings
Torsion-free modules
Mixed modules
Determinity of modules by their endomorphism rings
Modules with many endomorphisms or automorphisms


About the Author:

Piotr A. Krylov, Tomsk State University, Russia; Askar A. Tuganbaev, National Research University MPEI, Russia.


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Product Details
  • ISBN-13: 9783110609776
  • Publisher: De Gruyter
  • Publisher Imprint: de Gruyter
  • Height: 244 mm
  • No of Pages: 337
  • Series Title: de Gruyter Expositions in Mathematics
  • Weight: 752 gr
  • ISBN-10: 3110609770
  • Publisher Date: 24 Sep 2018
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • Spine Width: 21 mm
  • Width: 170 mm


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